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Prime numbers in typical continued fraction expansions

Tanja I. Schindler, Roland Zweimüller

Type: Article

Publication Date: 2023-02-28

Citations: 0

DOI: https://doi.org/10.1007/s40574-023-00349-9

Abstract

We study, from the viewpoint of metrical number theory and (infinite) ergodic theory, the probabilistic laws governing the occurrence of prime numbers as digits in continued fraction expansions of real numbers.

Locations

  • PubMed Central - View
  • Bollettino dell Unione Matematica Italiana - View - PDF
  • PubMed - View

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Works Cited by This (20)

Action Title Year Authors
+ Metrical Theory of Continued Fractions 2002 Marius Iosifescu
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+ PDF Chat A Nonstandard Law of the Iterated Logarithm for Trimmed Sums 1993 Erich Haeusler
+ Convergence in distribution of lightly trimmed and untrimmed sums are equivalent 1993 Harry Kesten
+ Some metrical theorems in number theory II. 1970 Walter Philipp
+ PDF Chat Random $f$-Expansions 1986 Jon Aaronson
+ PDF Chat �ber eine Anwendung der Mengenlehre auf ein aus der Theorie der s�kularen St�rungen herr�hrendes Problem 1911 Felix Bernstein
+ Mixing Limit Theorems for Ergodic Transformations 2007 Roland Zweimüller
+ Limit theorems for sums of partial quotients of continued fractions 1988 Walter Philipp
+ Les probabilités dénombrables et leurs applications arithmétiques 1909 M. Émile Borel
+ Kuzmin, coupling, cones, and exponential mixing 2004 Roland Zweimueller